PIRSA:14020146 Scientific Series Quantum Gravity Quantum Fields and Strings Condensed Matter Strong Gravity

DOI10.48660/14020146

Series: Quantum Fields and Strings

(2014). Causality, holography, and entanglement entropy. Perimeter Institute. https://pirsa.org/14020146

Causality, holography, and entanglement entropy. Perimeter Institute, Feb. 20, 2014, https://pirsa.org/14020146 

@misc{ pirsa_PIRSA:14020146,
  doi = {10.48660/14020146},
  url = {https://pirsa.org/14020146},
  author = {},
  keywords = {Quantum Gravity, Quantum Fields and Strings, Condensed Matter, Strong Gravity},
  language = {en},
  title = {Causality, holography, and entanglement entropy},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {feb},
  note = {PIRSA:14020146 see, \url{https://pirsa.org}}
}

Abstract

After giving a brief overview of holographic entanglement entropy formulas, I will explore a curious feature they imply: when the bulk spacetime includes a black hole, the entanglement entropies often appear to depend on the spacetime geometry inside the horizon. I will ask whether this implies any loss of causality in the field theory. To answer this question, I will present a new general-relativity theorem concerning the causal structure of asymptotically AdS spacetimes, which implies an interesting relationship between bulk and boundary causal domains.

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